griffin27298
15.07.2019 •
Mathematics
Atriangle with sides of length 3 cm, 3 cm, and 7 cm is a right triangle. true or false?
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Ответ:
In a right triangle, the hypotenuse is always longer than the legs.
If this is a right triangle, then the legs measure 3 cm each and the hypotenuse measures 7 cm.
Now we use the Pythagoras theorem.
The sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.
The legs are a and b.
The hypotenuse is c.
a^2 + b^2 = c^2
3^2 + 3^2 = 7^2
9 + 9 = 49
18 = 49
18 = 49 is false. Since the side lengths make the Pythagorean equation false, the triangle is not a right triangle.
False
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